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Sep 25, 2017 at 4:38 history edited Michael Hardy CC BY-SA 3.0
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Sep 23, 2017 at 2:29 vote accept A random mathematician
Sep 23, 2017 at 1:31 answer added Christian Remling timeline score: 12
Sep 23, 2017 at 1:20 history edited A random mathematician CC BY-SA 3.0
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Sep 23, 2017 at 1:03 comment added A random mathematician Yes, I forgot to mention that $\lambda_n$ is increasing and unbounded. They are indeed the eigenvalues of an elliptic differential equation.
Sep 23, 2017 at 1:02 history edited A random mathematician CC BY-SA 3.0
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Sep 23, 2017 at 0:59 comment added Mikhail Tikhomirov Also, the answer is trivially no if we take $\lambda_n = 1$ and $a_n$ to be elements of any series converging to 0. Is a condition missing?
Sep 23, 2017 at 0:56 comment added Mikhail Tikhomirov Should the summation index be $n$? Also, do you assume integer or real $k$?
Sep 23, 2017 at 0:52 history asked A random mathematician CC BY-SA 3.0